Growth functions for Artin monoids.

DOI10.3792/PJAA.85.84zbMath1183.20061OpenAlexW2005051890MaRDI QIDQ1046454

Kyoji Saito

Publication date: 22 December 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.85.84

zbMATH Keywords

zeros of polynomialsArtin groupsgrowth functionsArtin monoidsirreducible polynomialsdenominator polynominals

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Root systems (17B22)

Related Items (7)

Recurrence relations and Hilbert series of the monoid associated with star topology ⋮ On the monoid in the fundamental group of type \(\mathbf B_{\mathbf{ii}}\). ⋮ On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials ⋮ Inversion formula for the growth function of a cancellative monoid. ⋮ Opposite power series ⋮ Equilibrium states and growth of quasi-lattice ordered monoids ⋮ Limit elements in the configuration algebra for a cancellative monoid

Cites Work

• Growth functions associated with Artin monoids of finite type.
• Extended affine root systems. I: Coxeter transformations
• One-factors and \(k\)-factors
• Artin-Gruppen und Coxeter-Gruppen
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